Impedance estimation is an important tool for grid-converter interaction evaluation. Using existing grid-connected converters for perturbation injection enables grid impedance estimation during operation without additional hardware (namely dedicated perturbation injection converters). However, such converters (e.g. converters for PV systems, BESS, EV charging stations...) have limited voltage reserve, leading to reduced perturbation injection capabilities (i.e. perturbation magnitude) with conventional perturbation signals (pseudo-random binary signals or chirp signals). To enhance the perturbation capabilities of those converters, in this paper, an asymmetric chirp signal is proposed that increases the perturbation magnitude at a maximum operating point.